On Apr 5, 10:43 am, WM <mueck...@rz.fh-augsburg.de> wrote:> On 4 Apr., 21:01, William Hughes <wpihug...@gmail.com> wrote:>>>>>>>>>> > On Apr 4, 8:22 pm, WM <mueck...@rz.fh-augsburg.de> wrote:>> > > On 4 Apr., 19:40, William Hughes <wpihug...@gmail.com> wrote:>> > > > On Apr 4, 6:43 pm, WM <mueck...@rz.fh-augsburg.de> wrote:>> > > > > On 4 Apr., 18:21, William Hughes <wpihug...@gmail.com> wrote:>> > > > > > On Apr 4, 5:19 pm, WM <mueck...@rz.fh-augsburg.de> wrote:>> > > > > > > On 4 Apr., 16:08, William Hughes <wpihug...@gmail.com> wrote:> > > > > > > There is no need to say what numbers belong to mathematics - in> > > > > > > mathematics. There is no need to say what paths belong to the Binary> > > > > > > Tree>> > > > > > However, you keep talking about two types of paths,>> > > > > Not at all. I talk about sets of nodes that are in the Binary Tree.>> > > > Indeed, and some of these subsets of nodes are paths and> > > > some are not.>> > > In the Binary Tree there is no stop at any path.>> > > > You talk about subsets of nodes with a last node> > > > and subsets of nodes without a last node. However,> > > > you refuse outright to indicate what makes a subset of nodes> > > > a path (certainly not all subsets of nodes are paths).>> > > All nodes that belong to a finite path, belong to an infinite path> > > too.>> > Since you refuse to say what makes a subset of nodes a path> > you cannot claim that a path without a last node exists.->> I do not claim it. The infinite path, claimed or not, is simply> existing as the union of all its FISONs.

Certainly the subset of nodes given by the union of a setof FISONs exists, but since you won't say what makes a subsetof nodes a path you cannot claim that this subset of nodesis a path.